Finding the Third Proportional to 1,557.75 and 2,339.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,557.75 : 2,339.25 = 2,339.25 : x
2. Step 2: Convert to fraction form
   1,557.75/2,339.25 = 2,339.25/x
3. Step 3: Cross multiply
   1,557.75x = 2,339.25 × 2,339.25
4. Step 4: Simplify right side
   1,557.75x = 5,472,090.56
5. Step 5: Solve for x
   x = 5,472,090.56/1,557.75
6. Step 6: Final answer
   x = 3,512.82